A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case

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KASIMBEYLİ N., KASIMBEYLİ R., Mammadov M.

OPTIMIZATION, vol.65, no.5, pp.937-945, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 5
  • Publication Date: 2016
  • Doi Number: 10.1080/02331934.2015.1132217
  • Journal Name: OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.937-945
  • Keywords: Vector optimization, density theorem, nonlinear separation theorem, augmented dual cone, proper efficiency, 90C26, 90C29, 90C30, 90C46, 46N10, PROPER EFFICIENT POINTS, RADIAL EPIDERIVATIVES, DENSITY, RESPECT, SCALARIZATION, PRICES
  • Anadolu University Affiliated: Yes

Abstract

The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space.